Since we have a uniform width (let the width be w) for the pathway,
74,464 = (350+w)(200+w)
74,464 = 70,000 + 550w + w²
0 = w² + 550w - 4,464
0 = (w-8)(w+558)
Therefore the width would be 8 or -558, but we cannot have a negative value so the uniform width is 8.